84787440 has 80 divisors (see below), whose sum is σ = 263795616. Its totient is φ = 22528000.

The previous prime is 84787433. The next prime is 84787441. The reversal of 84787440 is 4478748.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 84787392 and 84787401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84787441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95800 + ... + 96680.

Almost surely, 2^84787440 is an apocalyptic number.

84787440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131897808).

84787440 is an abundant number, since it is smaller than the sum of its proper divisors (179008176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84787440 is a wasteful number, since it uses less digits than its factorization.

84787440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 84787440 is about 9208.0095569021. The cubic root of 84787440 is about 439.3161553553.

The spelling of 84787440 in words is "eighty-four million, seven hundred eighty-seven thousand, four hundred forty".